'I'm a professional mathematician, and I myself very often use mathematical methods that I understand only imprecisely,'' he said. ''It is while I use them that I begin to understand. After a while, the use and the understanding are mutually supporting.''
source:
The New, Flexible Math Meets Parental Rebellion (scroll down)
By ANEMONA HARTOCOLLIS (NYT)
2403 words
Published: April 27, 2000
In mathematics you don't understand things. You just get used to them.
John von Neumann
(from Vlorbik)
John Saxon & Carolyn say the same thing....
I looked these lines up again today, because I'm pretty sure they illustrate the fundamental insight of precision teaching.
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